The Bianchi groups are subgroup separable on geometrically finite subgroups
Geometric Topology
2007-05-23 v2
Abstract
We show that for certain arithmetic groups, geometrically finite subgroups are the intersection of finite index subgroups containing them. Examples are the Bianchi groups and the Seifert-Weber dodecahedral space. In particular, for manifolds commensurable with these groups, immersed incompressible surfaces lift to embeddings in a finite sheeted covering.
Cite
@article{arxiv.math/9811114,
title = {The Bianchi groups are subgroup separable on geometrically finite subgroups},
author = {Ian Agol and Darren D. Long and Alan W. Reid},
journal= {arXiv preprint arXiv:math/9811114},
year = {2007}
}
Comments
19 pages